Without loss of generality, we assume \(u(x)> u(y)\) . Employing [1]}, for the choice \(p=q\) , \(a=\phi ^{p/q}(x)\) , \(b=\phi ^{p/q}(y)\)  together with
\(\epsilon = t\frac{\bar{u}(x)-\bar{u}(y)}{\bar{u}(x)} \in (0,1) \quad \mbox{with } t\in (0,1),\) 
